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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 8: Rút gọn các biểu thức sau: a.(x-3)(x + 7) – (x +5)(x -1) b. (x + 8)2 – 2(x +8)(x -2) + (x -2)2 c. x2(x – 4)(x + 4) – (x2 + 1)(x2- 1)

Toán Lớp 8: Rút gọn các biểu thức sau:
a.(x-3)(x + 7) – (x +5)(x -1) b. (x + 8)2 – 2(x +8)(x -2) + (x -2)2
c. x2(x – 4)(x + 4) – (x2 + 1)(x2- 1) d. (x+1)(x2 – x + 1) – (x – 1)(x2 +x +1)

Comments ( 2 )

  1. Giải đáp:
     
    Lời giải và giải thích chi tiết:
    a)(x-3)(x+7)-(x+5)(x-1)=x^2+7x-3x-21-x^2+x-5x+5 =-16$\\$ b)(x+8)^2-2(x+8)(x-2)+(x-2)^2=[(x+8)-(x-2)]^2=10^2=100$\\$ c)x^2(x-4)(x+4)-(x^2+1)(x^2-1)=x^4-16x^2-x^4-1=-16x^2-1$\\$ d)(x+1)(x^2-x+1)-(x-1)(x^2+x+1)=x^3+1-x^3+1=2

  2. a) (x-3)(x+7)-(x+5)(x-1)
    =x^2+7x-3x-21-x^2+x-5x+5
    =-16
    b) (x+8)^2-2(x+8)(x-2)+(x-2)^2
    =[(x+8)-(x-2)]^2
    =(x+8-x+2)^2
    =10^2
    =100
    c) x^2(x-4)(x+4)-(x^2+1)(x^2-1)
    =x^2(x^2-16)-x^4-1
    =x^4-16x^2-x^4-1
    =-16x^2-1
    d) (x+1)(x^2-x+1)-(x-1)(x^2+x+1)
    =x^3+1-x^3+1
    =2
     

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222-9+11+12:2*14+14 = ? ( )

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